On a coupled system of higher order nonlinear Caputo fractional differential equations with coupled Riemann–Stieltjes type integro-multipoint boundary conditions

Advances in Difference Equations

卷:2019

Bashir Ahmad¹  Sotiris K. Ntouyas¹  Ahmed Alsaedi¹  Ymnah Alruwaily¹ 

[1] Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University;

关键词: Caputo derivative;    System;    Riemann–Stieltjes integral;    Multipoint boundary conditions;    Existence;   

DOI  :  10.1186/s13662-019-2412-x

来源: DOAJ

【 摘 要 】

Abstract We study a coupled system of Caputo fractional differential equations with coupled non-conjugate Riemann–Stieltjes type integro-multipoint boundary conditions. Existence and uniqueness results for the given boundary value problem are obtained by applying the Leray–Schauder nonlinear alternative, the Krasnoselskii fixed point theorem and Banach’s contraction mapping principle. Examples are constructed to illustrate the obtained results.

【 授权许可】

Unknown